
Also, \(\alpha \) -geodesical skew divergence is a special form of the generalized skew K-divergence [1]}, [2]}, which is a family of abstract means-based divergences.
In this paper, the skew K-divergence touched upon in [1]} is characterized in terms of \(\alpha \) -geodesic on positive measures, and its geometric and functional analytic properties are investigated.
When the Kolmogorov-Nagumo average (i.e., when the function \(f^{-1}\)  in Eq. (REF ) is a strictly monotone convex function) the geodesic has been shown to be well-defined [4]}.
